11103111200 has 72 divisors (see below), whose sum is σ = 27137763072. Its totient is φ = 4435953920.

The previous prime is 11103111199. The next prime is 11103111209. The reversal of 11103111200 is 211130111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11103111209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 701777 + ... + 717423.

It is an arithmetic number, because the mean of its divisors is an integer number (376913376).

Almost surely, 2^11103111200 is an apocalyptic number.

11103111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11103111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13568881536).

11103111200 is an abundant number, since it is smaller than the sum of its proper divisors (16034651872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11103111200 is a wasteful number, since it uses less digits than its factorization.

11103111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16554 (or 16541 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11103111200 its reverse (211130111), we get a palindrome (11314241311).

The spelling of 11103111200 in words is "eleven billion, one hundred three million, one hundred eleven thousand, two hundred".